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3 years ago

Find the domain Please help

Mathematics

2 answers:

svetlana [45]3 years ago

6 0

Number 3. -6 < x < 8

goldenfox [79]3 years ago

3 0

Answer:

number. 3 hope this helps

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11. Suppose a force F varies as the product of two masses, m and M, inversely as

almond37 [142]

Answer:

$k = 6.74 * 10^{-5}$

Step-by-step explanation:

Given

$F\ \alpha\ \frac{m * M}{r^2}$ --- The variation

$F = 675; m = 125; M = 225; r = 0.0530$

Required

Determine the constant of proportionality (k)

$F\ \alpha\ \frac{m * M}{r^2}$

Express as an equation

$F = k\frac{m * M}{r^2}$

Multiply both sides by $r^2$

$Fr^2 = km * M$

Make k the subject

$k = \frac{Fr^2}{m * M}$

Given that: $F = 675; m = 125; M = 225; r = 0.0530$

We have:

$k = \frac{675* 0.0530^2}{125 * 225}$

$k = \frac{1.896075}{28125}$

$k = 0.000067416$

This can be represented as:

$k = 6.74 * 10^{-5}$

5 0

3 years ago

Determine the domain on which the following is decreasing

Katarina [22]

Answer:

(-∞,4)

Step-by-step explanation:

the value is going down from the right until it reaches the vertex

4 0

3 years ago

Help please..............

scoundrel [369]

F(5)=3(5)+2= 15+2=17
D.17

3 0

4 years ago

Read 2 more answers

6. Challenge Problem: One owl hoots every 3 hours, a second owl hoots every 8 hours, and

ANTONII [103]

Answer:

3 times

Step-by-step explanation:

The lowest common multiple of 3, 8, and 12 is 24.

Therefore they all hoot together at the 24th hour, 48th(24×2) hour, 72nd(24×3)hour. making 3 times before the 80th hour

7 0

3 years ago

The cost of renting a table at the flea market is based on a fixed price per day plus an initial registration fee. If it costs $

Simora [160]

Answer:

c = 15d + 30

Step-by-step explanation:

Hey there!

This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).

The price for one day ($45) and the price for 4 days($90) are specific points on that line.

The points are (1, 45) and (4, 90).

We can first find the slope of the line:

As the price rises 45, the days increase by 3
Slope = rise/run
Slope = 45/3
Slope = 15

Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.

Solve for b:

y = mx + b
45 = 15(1) + b
45 = 15 + b
30 = b

The base price (b) is 30.

The equation is $\text{\boxed{c = 15d + 30}}$

6 0

2 years ago